Abstract
For a prime power q, a q-clan is a set of q 2 × 2 matrices over GF(q) whose pairwise differences give anisotropic quadratic forms. These objects are used to construct translation planes of order q 2, flocks of quadratic cones in PG,(3, q), and generalized quadrangles with parameters(q 2, q.)
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© 2001 Kluwer Academic Publishers
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Payne, S.E. (2001). The Law—Penttila q-Clan Geometries. In: Blokhuis, A., Hirschfeld, J.W.P., Jungnickel, D., Thas, J.A. (eds) Finite Geometries. Developments in Mathematics, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0283-4_17
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DOI: https://doi.org/10.1007/978-1-4613-0283-4_17
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